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Finding the Fourth Proportional to 18,573, 27,866.76 and 8,177.46

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Solution

The fourth proportional to 18,573, 27,866.76 and 8,177.46 is: 12,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,573 : 27,866.76 = 8,177.46 : x
  2. Step 2: Convert to fraction form
    18,573/27,866.76 = 8,177.46/x
  3. Step 3: Cross multiply
    18,573x = 27,866.76 × 8,177.46
  4. Step 4: Simplify right side
    18,573x = 227,879,315.23
  5. Step 5: Solve for x
    x = 227,879,315.23/18,573
  6. Step 6: Final answer
    x = 12,269.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.